Random Imperfection (II)

Abstract

It was clarified in Chapter 5, for simple critical points, that the probabilistic properties of critical loads can be formulated in an asymptotic sense (when imperfections are small). In this chapter, this formulation is extended to a Dn-equivariant system that potentially has simple and double bifurcation points. For a simple critical point of a Dn-equivariant system, which is either a limit point or a pitchfork bifurcation point (cf., §8.3.1), the relevant results presented in Chapter 5are applicable.